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2 years ago

Simplify the given polynomial expressions as much as possible. (3x - 6)(8x + 2)

Mathematics

1 answer:

vfiekz [6]2 years ago

5 0

Answer:

Step-by-step explanation:

Remark

All you can really do is remove the brackets. Use FOIL

Solution

First: 3x*8x = 24^2

Outside: 2* 3x = 6x

Inside: -6*8x = - 48x

Last: -6*2 = - 12

Answer

24x^2 + 6x - 48x - 12

24x^2 - 42x - 12

You might be interested in

Compare 1/3 of 60 to 1/5 of 100

nataly862011 [7]

1/3 of 60 to 1/5 of 100 is 20 to 20.
1/3 x 60/1 =20
1/5 x 100/1=20
Reminder: You're able to cross-multiply.

6 0

3 years ago

Read 2 more answers

Suppose the scores on a test given to all juniors in a school district are normally distributed with a mean of 74 and a standard

ivann1987 [24]

Answer:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.

Step-by-step explanation:

For this case we know that the random variable of interest is the scores on a test given to all juniors in a school district follows a normal distribution with the following parameters:

$X \sim N(\mu= 74, \sigma =8)$

For this case we know from the empirical rule that within one deviation from the mean we have approximately 68.2% of the data, within 2 deviations from the mean we have 95% and within 3 deviation 99.7%

We can find the limits and we got:

$\mu -\sigma = 66 , \mu +\sigma = 82$

$\mu -2\sigma = 58 , \mu +2\sigma = 90$

$\mu -3\sigma = 50 , \mu +3\sigma = 98$

And in the figure attached we see the limits with the percentages associated.

7 0

4 years ago

The equation of line k is y=

Nina [5.8K]

Answer:

Neither parallel nor perpendicular

Step-by-step explanation:

I'm assuming you meant line k is y = 3x -2. If not, this is wrong.

For this, you need to put both lines in point-slope form, or the form that line k is already in. This means you only need to convert line m.

-2r + 6v = 18

6v = 2r + 18

v = 2/6r + 18/6

v = 1/3r + 3

Now you can answer the question.

To be parallel, lines must have the same slope (but a different y-intercept). 3 and 1/3 are not the same, so the lines are not parallel.

To be perpendicular, one line must have the opposite reciprocal (fraction flipped and + goes to - or - to +) of the other. While 3 is the reciprocal of 1/3, they are both positive, so they are not perpendicular.

To be the same line, the equations must be absolutely identical, which they aren't.

This leaves the last option: neither.

Let me know if you need a more in-depth explanation of anything here! I'm happy to help!

3 0

3 years ago

Read 2 more answers

Will give brainliest! 20 Points! Hi! Some help with these problems would be great thank you!

erica [24]

Answer:

Question 1:

Draw a line that crosses the largest number of dots. Then use the line to check the best prediction of the number of baseballs that will be used if 275 pitches are thrown.

Question 2:

A). y = 1.2x - 6

Question 3:

J). y = $\frac{9}{4}x - 81$

Question 4:

F). f(n) = -3n + 24 *Although it doesn't work when f(n) = 6 and n = 6*

Step-by-step explanation:

Question 2:

The line passes throught point (5, 0) and is parallel to the line whose equation is y = 1.2x + 3.8

For parallel lines, their values of slope is the same.

So our line, that passes through point (5, 0), also has a slope of 1.2

Taking another point (x, y) on our line;

Slope = change in y ÷ change in x

1.2 = $\frac{y - 0}{x - 5}$

y = 1.2x - 1.2(5)

y = 1.2x - 6

Question 3:

The line passes x-axis at point (36, 0)

The line is perpendicular to another line whose equation is y = - $\frac{4}{9}x$ + 5

For perpendicular lines, the product of their slopes = -1

Let's say the slope of our unknown line is a ;

Given: The slope of our second line is -4/9

So,

a × -4/9 = -1

a = -1 × -9/4 = 9/4

Taking another point (x, y) on our unknown line;

Slope = change in y ÷ change in x

9/4 = $\frac{y - 0}{x - 36}$

Cross-multiplying that you get;

y = $\frac{9}{4}x - 81$

Question 4:

The function that model that situation is f(n) = -3n + 24 though it doesn't work when f(n) = 6 and n = 6

3 0

4 years ago

Read 2 more answers

Beyonce is solving a system of equations:

Sholpan [36]

Answer:

Beyonce will get the same result.

Step-by-step explanation:

The given system is

2x-3y=-2

and 4

x+y=24

This system contains two lines that are not parallel to each other therefore the solution x=5, y=4 is unique.

It doesn't matter which method he used or which variable he eliminated first.

The solution will still be the same.

If the system of two equations with has no solution, the Beyonce will not get a solution in the first place, but the fact that the system has no solution remains the same even if Beyonce uses a different method.

If there are infinite solutions, Beyonce might get different solutions using a different method, but the fact that the system has infinite solution remains the same.

4 0

4 years ago